Add 40/42 and 36/90
40/42 + 36/90 is 142/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 90 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 42 × 15 = 630,
40/42 = 40 × 15/42 × 15 = 600/630 - Likewise, for the 2nd fraction, since 90 × 7 = 630,
36/90 = 36 × 7/90 × 7 = 252/630 - Add the two like fractions:
600/630 + 252/630 = 600 + 252/630 = 852/630 - 852/630 simplified gives 142/105
- So, 40/42 + 36/90 = 142/105
In mixed form: 137/105
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